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statementVerified

Public Euclid-plus-SEP treat demonstration as a shareable argument, later under his name

Elements as public text plus SEP’s caution still leave a heading: proof as something others can check. In the causal graph this event strengthens Democratic Resilience, a driver that strengthens Having a say in government — an improving welfare path.

Sources: [1][2]

Read the full account

Elements as public text plus SEP’s caution still leave a heading: proof as something others can check.

Context

This stores checkable proof as later school practice.

Pythagoras is not the sole author of every later object, law, or museum label that uses the name. Shared work with courts, excavators, printers, spouses, officials, and later states does not erase a documented role, and it does not make an ancient person the signer of a twentieth-century statute.

Why it matters

Printed demonstration is not a ballot.

Printed demonstration is not a ballot.

Who was responsible

Contribution type and responsibility level for each recorded actor — not sole-author shorthand.

  • Pythagoras

    Person

    Direct responsibility

    responsibility level 0.22 · verified

    Named sage as heading of later school reports. Iamblichus, Euclid’s editors, and later math teachers publish the instrument.

What changed

Fact → Driver → Indicator. Relationship strength orders the paths; it is not the observed indicator movement.

    1. FactPublic Euclid-plus-SEP treat demonstration as a shareable argument, later under his name
    2. strengthensDriverDemocratic Resilience
    3. strengthensIndicators (3)Having a say in government
    Improving path

    impact weight 0.35 · Effect from 1 September 1926 · verified

    Printed demonstration is not a ballot.

    • Having a say in government

      via Democratic Resilience

      Better

      Strengthens · Relationship strength 0.24 (weight 0.35 × strength 0.7)

      Observed

      29.8% of population aged 16-65 years · 8.13 below the normal line (2023)

      Worse than normal

      Two readings: 30.2% of population aged 16-65 years (2021) and 29.8% of population aged 16-65 years (2023).

      20212023

      Above normal = better

    • Clean elections index

      via Democratic Resilience

      Better

      Strengthens · Relationship strength 0.16 (weight 0.35 × strength 0.45)

      Observed

      0.53 score from 0 to 1 · 0.34 below the normal line (2024)

      Worse than normal

      125 readings, 1900–2024: rose from 0.17 score from 0 to 1 to 0.53 score from 0 to 1.

      Above normal = better

    • WJP Rule of Law Index (global)

      via Democratic Resilience

      Better

      Strengthens · Relationship strength 0.16 (weight 0.35 × strength 0.45)

      Observed

      0.55 index score (0-1) · 0.26 below the normal line (2024)

      Worse than normal

      Above normal = better

Evidence

The sources behind this fact and its verification state.

Verified2 sources on file
  1. 1.Clay Mathematics Institute — Euclid’s ElementsClay Mathematics Institute · High credibility · verified
  2. 2.Stanford Encyclopedia of Philosophy — PythagorasStanford Encyclopedia of Philosophy · High credibility · verified

Causal path

How this event connects to drivers and indicators in the graph.

  1. ActorPythagoras
  2. contributed toFactPublic Euclid-plus-SEP treat demonstration as a shareable argument, later under his name
  3. strengthensDriverDemocratic Resilience
  4. strengthensIndicatorHaving a say in government

Cite this page

Factrail. (2026). Public Euclid-plus-SEP treat demonstration as a shareable argument, later under his name. Factrail. https://factrail.ai/facts/py-mathematical-public-reason

https://factrail.ai/facts/py-mathematical-public-reason

Accessed 16 October 2026.

By the Factrail desk · Method: how we source and score · Last reviewed

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